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Title: Counterintuitive transitions between crossing energy levels

Abstract

We calculate analytically the probabilities for intuitive and counterintuitive transitions in a three-state system, in which two parallel energies are crossed by a third, tilted energy. The state with the tilted energy is coupled to the other two states in a chainwise linkage pattern with constant couplings of finite duration. The probability for a counterintuitive transition is found to increase with the square of the coupling and decrease with the squares of the interaction duration, the energy splitting between the parallel energies, and the tilt (chirp) rate. Physical examples of this model can be found in coherent atomic excitation and optical shielding in cold atomic collisions.

Authors:
 [1];  [1];  [2];  [1];  [3]
  1. Department of Physics, Sofia University, James Bourchier 5 boulevard, 1164 Sofia (Bulgaria)
  2. (South Africa)
  3. (Bulgaria)
Publication Date:
OSTI Identifier:
20786533
Resource Type:
Journal Article
Resource Relation:
Journal Name: Physical Review. A; Journal Volume: 72; Journal Issue: 5; Other Information: DOI: 10.1103/PhysRevA.72.053404; (c) 2005 The American Physical Society; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
74 ATOMIC AND MOLECULAR PHYSICS; ATOM COLLISIONS; COUPLING; ELECTRONIC STRUCTURE; ENERGY LEVELS; EXCITATION; PROBABILITY

Citation Formats

Rangelov, A. A., Piilo, J., School of Pure and Applied Physics, University of KwaZulu-Natal, Durban 4041, Vitanov, N. V., and Institute of Solid State Physics, Bulgarian Academy of Sciences, Tsarigradsko chaussee 72, 1784 Sofia. Counterintuitive transitions between crossing energy levels. United States: N. p., 2005. Web. doi:10.1103/PHYSREVA.72.0.
Rangelov, A. A., Piilo, J., School of Pure and Applied Physics, University of KwaZulu-Natal, Durban 4041, Vitanov, N. V., & Institute of Solid State Physics, Bulgarian Academy of Sciences, Tsarigradsko chaussee 72, 1784 Sofia. Counterintuitive transitions between crossing energy levels. United States. doi:10.1103/PHYSREVA.72.0.
Rangelov, A. A., Piilo, J., School of Pure and Applied Physics, University of KwaZulu-Natal, Durban 4041, Vitanov, N. V., and Institute of Solid State Physics, Bulgarian Academy of Sciences, Tsarigradsko chaussee 72, 1784 Sofia. Tue . "Counterintuitive transitions between crossing energy levels". United States. doi:10.1103/PHYSREVA.72.0.
@article{osti_20786533,
title = {Counterintuitive transitions between crossing energy levels},
author = {Rangelov, A. A. and Piilo, J. and School of Pure and Applied Physics, University of KwaZulu-Natal, Durban 4041 and Vitanov, N. V. and Institute of Solid State Physics, Bulgarian Academy of Sciences, Tsarigradsko chaussee 72, 1784 Sofia},
abstractNote = {We calculate analytically the probabilities for intuitive and counterintuitive transitions in a three-state system, in which two parallel energies are crossed by a third, tilted energy. The state with the tilted energy is coupled to the other two states in a chainwise linkage pattern with constant couplings of finite duration. The probability for a counterintuitive transition is found to increase with the square of the coupling and decrease with the squares of the interaction duration, the energy splitting between the parallel energies, and the tilt (chirp) rate. Physical examples of this model can be found in coherent atomic excitation and optical shielding in cold atomic collisions.},
doi = {10.1103/PHYSREVA.72.0},
journal = {Physical Review. A},
number = 5,
volume = 72,
place = {United States},
year = {Tue Nov 15 00:00:00 EST 2005},
month = {Tue Nov 15 00:00:00 EST 2005}
}
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